Random matrix model at nonzero chemical potentials with anomaly effects

Details Random matrix model at nonzero chemical potentials with anomaly effects Random matrix model at nonzero chemical potentials with anomaly effects

2010-09-29

arxiv.org/abs/1009.5977v2

Phys.Rev.D83:014005,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 8 figures

Scientific paper

10.1103/PhysRevD.83.014005

Phase diagram of the chiral random matrix model with U(1)A breaking term is studied with the quark chemical potentials varied independently at zero temperature, by taking the chiral and meson condensates as the order parameters. Although, without the U(1)A breaking term, chiral transition of each flavor can happen separately responding to its chemical potential, the U(1)A breaking terms mix the chiral condensates and correlate the phase transitions. In the three flavor case, we find that there are mixings between the meson and chiral condensates due to the U(1)A anomaly, which makes the meson condensed phase more stable. Increasing the hypercharge chemical potential ($\mu_Y$) with the isospin and quark chemical potentials ($\mu_I$, $\mu_q$) kept small, we observe that the kaon condensed phase becomes the ground state and at the larger $\mu_Y$ the pion condense phase appears unexpectedly, which is caused by the competition between the chiral restoration and the meson condensation. The similar happens when $\mu_Y$ and $\mu_I$ are exchanged, and the kaon condensed phase becomes the ground state at larger $\mu_I$ below the full chiral restoration.

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